Point splitting renormalization of Schwinger induced current in de Sitter spacetime

The covariant and gauge invariant calculation of the current expectation value in the homogeneous electric field in 1+3 dimensional de Sitter spacetime is shown. The result accords with previous work obtained by using adiabatic subtraction scheme. We therefore conclude the counterintuitive behaviors...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2016-07, Vol.2016 (7), p.12-12
Main Authors: Hayashinaka, Takahiro, Yokoyama, Jun'ichi
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COSMOLOGICAL INFLATION
DE SITTER GROUP
DE SITTER SPACE
ELECTRIC FIELDS
EXPECTATION VALUE
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INFLATIONARY UNIVERSE
INFRARED DIVERGENCES
MAGNETIC FIELDS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM COSMOLOGY
RENORMALIZATION
SPACE-TIME
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Summary:The covariant and gauge invariant calculation of the current expectation value in the homogeneous electric field in 1+3 dimensional de Sitter spacetime is shown. The result accords with previous work obtained by using adiabatic subtraction scheme. We therefore conclude the counterintuitive behaviors of the current in the infrared (IR) regime such as IR hyperconductivity and negative current are not artifacts of the renormalization scheme, but are real IR effects of the spacetime.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2016/07/012